The expression x² + 8x + 16 represents the area of the square.
The area of the square is defined as the product of the length and width.
Given data as:
A square has a side length of (x+4)
The area of the square = (x+4)(x+4)
The area of the square = (x+4)²
The area of the square = x² + 2(x)(4) + 4²
The area of the square = x² + 8x + 16
Hence, the expression x² + 8x + 16 represents the area of the square.
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